There should be an easy way to utilize tokens that “live” on Statemine from other parachains. At the moment, this is not easily achievable. The go-to solution would be to teleport assets to other chains, thus replicating the state and losing the benefits of chain specialization.
A runtime-level parachain app can send an XCMP transfer message to Statemine, but currently has no way of reading Statemine's state, or have a secure execution confirmation.
We'd like to explore other possible options to achieve integration of a parachain dApp with Statemine.
We'd like to create a PoC app for each solution. Where applicable, we'd extract APIs to allow developers for easier use of our results.
As it's a bit exploratory/research proposal, we may end up implementing some better ways of using assets cross-chain, if we find them.
We're Ethworks, a blockchain software-house. For the Polkadot/Kusama community, we've implemented the Bounties UI and worked on 2 other UI-related grants: 1, 2.
You can find all the relevant proposal details in this doc.